Contradiction with 1 Samuel 16:1
This verse states that God has chosen one of Jesse's sons, specifically David, to be king, whereas 2 Samuel 2:4 mentions David being anointed king over the house of Judah, rather than over all Israel at first.
1 Samuel 16:1: And the LORD said unto Samuel, How long wilt thou mourn for Saul, seeing I have rejected him from reigning over Israel? fill thine horn with oil, and go, I will send thee to Jesse the Bethlehemite: for I have provided me a king among his sons.
Contradiction with 1 Samuel 15:28
Here, Samuel tells Saul that the kingdom has been torn from him and given to another better than him, implying a broader transfer of kingship, contrasting with 2 Samuel 2:4 where David is only king over Judah initially.
1 Samuel 15:28: And Samuel said unto him, The LORD hath rent the kingdom of Israel from thee this day, and hath given it to a neighbour of thine, [that is] better than thou.
Contradiction with 2 Samuel 5:3
David is made king over all Israel, which contradicts the limited kingship over only Judah mentioned in 2 Samuel 2:4.
2 Samuel 5:3: So all the elders of Israel came to the king to Hebron; and king David made a league with them in Hebron before the LORD: and they anointed David king over Israel.
Contradiction with 1 Kings 2:11
This verse summarizes David's reign over all Israel lasting forty years, which contrasts with the specific and limited scope of his kingship in 2 Samuel 2:4.
1 Kings 2:11: And the days that David reigned over Israel [were] forty years: seven years reigned he in Hebron, and thirty and three years reigned he in Jerusalem.